What is (x^2-1)/(5x^2+5x) ?

The solution to (x^2-1)/(5x^2+5x) is (x-1)/(5x)

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simplify (x^2-1)/(5x^2+5x)

simplify

\frac{x ^{2} - 1}{5 x ^{2} + 5 x}

\frac{x - 1}{5 x}

Solution steps

\frac{x ^{2} - 1}{5 x ^{2} + 5 x}

Factor

x^{2} - 1 : (x + 1) (x - 1)

= \frac{( x + 1 ) ( x - 1 )}{5 x ^{2} + 5 x}

Factor

5 x^{2} + 5 x : 5 x (x + 1)

= \frac{( x + 1 ) ( x - 1 )}{5 x ( x + 1 )}

Cancel the common factor:

x + 1

= \frac{x - 1}{5 x}

ln (\frac{1}{e ^{9}})

2 x^{2}

\frac{\frac{x ^{2} - 16}{x - 2}}{\frac{x ^{2} + 3 x - 4}{x - 8}}

\frac{n}{m ^{2}} + \frac{3}{mn} + \frac{2}{m}

- 6 \cdot (- 2)